1 / 9

5.1

5.1. Perpendicular and Angle Bisectors. Definitions. Distance from a point to a line: Length of the perpendicular segment from a point to a line. Equidistant: A point that is the same distance from two segments (rays or lines). . Angle Bisector Theorem. B.

dyanne
Download Presentation

5.1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 5.1 Perpendicular and Angle Bisectors

  2. Definitions • Distance from a point to a line: • Length of the perpendicular segment from a point to a line. • Equidistant: • A point that is the same distance from two segments (rays or lines).

  3. Angle Bisector Theorem B • If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle. A C D

  4. Example #1 L K H J

  5. Defn: Perpendicular Bisector • A line that is perpendicular to and bisects another segment. A C D B

  6. Perpendicular Bisector Theorem • If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. A E C D B

  7. Example #2 & 3 D M M Y C A B Y

  8. Example #4 A 2x + 3 y + 4 M T H ½ x + 8 3y

  9. Write eqn of perp bisector given two endpoints • STEPS: • 1) Find the midpoint of the segment • 2) Find the slope of the segment • 3) Find the slope of its perpendicular line • 4) Use the perpendicular slope and midpoint and plug into Point-Slope form 5) A ( 6, -3) B (0,5) 6) A (2, 7) B (-4, 3)

More Related